A load of 138+j460 Ohm is supplied through 3+j14 Ohm line as shown in Figure 1. (a) Find the average power dissipated in the line. (b) Find the value of capacitive reactance connected across the load to compensate the reactive power need of the load. (c) What is the equivalent impedance after compensation. (d) Find the average power dissipated in the line when the capacitive reactance is connected across the load. (e) Express the power loss in (d) as a percentage of the power found in (a)
Short Transmission Line
A short transmission line is a transmission line that has a length less than 80 kilometers, an operating voltage level of less than 20 kV, and zero capacitance effect.
Power Flow Analysis
Power flow analysis is a topic in power engineering. It is the flow of electric power in a system. The power flow analysis is preliminary used for the various components of Alternating Current (AC) power, such as the voltage, current, real power, reactive power, and voltage angles under given load conditions and is often known as a load flow study or load flow analysis.
Complex Form
A power system is defined as the connection or network of the various components that convert the non-electrical energy into the electric form and supply the electric form of energy from the source to the load. The power system is an important parameter in power engineering and the electrical engineering profession. The powers in the power system are primarily categorized into two types- active power and reactive power.
![A load of 138+j460 Ohm is supplied through 3+j14 Ohm line as shown in Figure 1.
(a) Find the average power dissipated in the line.
(b) Find the value of capacitive reactance connected across the load to compensate
the reactive power need of the load.
(c) What is the equivalent impedance after compensation.
(d) Find the average power dissipated in the line when the capacitive reactance is
connected across the load.
(e) Express the power loss in (d) as a percentage of the power found in (a)
j14
Figure 1
7200/0 +
V (rms)
Source
3
wi
Line
Load
138
j460](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25629fcb-394e-4d4a-bcfe-844689168a1e%2Fc122e899-2bfa-4621-bc58-1e7c88caee2b%2Fjpl69w_processed.png&w=3840&q=75)
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